Switch to the new symbols format

[AndriySvyryd]

Cleanup the public pipeline

[Copilot]

Pull request overview

Updates build and pipeline configuration to align package symbol generation with the modern NuGet symbols format and simplify the public pipeline definition.

Changes:

• Set MSBuild SymbolPackageFormat to snupkg for generated packages.
• Adjust NuGet.org release publish input glob to no longer exclude legacy *.symbols.nupkg.
• Remove internal-vs-public conditional logic from azure-pipelines-public.yml to keep it strictly “public”.

Reviewed changes

Copilot reviewed 3 out of 3 changed files in this pull request and generated 1 comment.

File	Description
Directory.Build.props	Switches symbol package output format to snupkg.
azure-pipelines-release.yml	Updates package push glob for NuGet.org publishing.
azure-pipelines-public.yml	Simplifies the public pipeline by removing internal-only conditionals/steps.

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